English

From spanning forests to edge subsets

Combinatorics 2013-12-23 v1

Abstract

We give some insight into Tutte's definition of internally and externally active edges for spanning forests. Namely we prove, that every edge subset can be constructed from the edges of exactly one spanning forest by deleting a unique subset of the internally active edges and adding a unique subset of the externally active edges.

Cite

@article{arxiv.1109.3282,
  title  = {From spanning forests to edge subsets},
  author = {Martin Trinks},
  journal= {arXiv preprint arXiv:1109.3282},
  year   = {2013}
}

Comments

11 pages

R2 v1 2026-06-21T19:05:10.333Z